Above the mage!

Chapter 130 A disturbing constant is missing from the formula

Hmm? It doesn't seem as complicated as the rumors say. After all, isn't it just a simple formula calculation?
The complexity of this formula is at most at the high school level. And the writing is too unsophisticated.

After reading the "Six Basic Rules of Runes" recorded in the notebook, this was the first thought that came to Gao De's mind.

"So in order to ensure that the magic circle is established as much as possible, the actual robustness value should be reduced as much as possible, or the theoretical robustness value should be increased."

“Reduce the actual robustness value, that is, try to reduce the occurrence of two identical runes connected to reduce the number of interference pairs, and use as many secondary basic runes with lower energy as possible to increase the number of runes.”

"Increase the maximum robustness value, that is, increase the number of runes and the number of rune pairs, or choose magic conducting materials with low magic resistance."

"But as the number of rune pairs increases, the number of interference pairs will also increase."

This was the second thought that flashed through Gaode’s mind.

He subconsciously began to understand the derivation of this formula.

After going over the six basic rules of runes again, combined with his own understanding, Gao De had already memorized them firmly in his mind.

Only then did he feel at ease and continue browsing.

The first thing that comes into view is a very simple picture:

The main body of the pattern is a large hexagon, with the six sides of the hexagon cleverly divided into six equal areas;
Each area contains a pattern, four of which are identical hexagonal patterns and two are square patterns;

The patterns in the six equally divided areas all have an edge that coincides with the hexagon in the center.

In addition, the center of each pattern is marked with the numbers "0" and "1".

Below the picture, there is a text description:
"Assume that a simple magic circle can be formed by a compound rune. The compound rune is composed of 7 basic runes, including 5 zero-level basic runes and 2 first-level basic runes."

"According to the six basic rules of runes, calculate whether it can be successfully constructed on mithril material with a magic resistance rate of 1% and brass material with a magic resistance rate of 45%?"

Are there also “after-class exercises”?
Gao De thought to himself as he picked up a blank piece of manuscript paper and a feather pen from the workbench and started writing.

"Each rune in this magic circle can connect to a maximum of 4 < 8 runes of the same level, and a maximum of 2 ≤ 2 identical runes, which complies with Rule ."

"Let the number of rune logarithms be N, the number of interference logarithms be n, the number of runes be m, the total energy of the magic circle be E, the magic resistance rate be R, the theoretical robustness value be Q, and the actual robustness value be q."

"According to Rule 11, we can get: N=2, n=7, m="

“根据规则二可得E=4.64*2（相同零级符文相邻能量升级）+1*2+4.64*2=20.56。”

“当导魔材料为秘银时：R=0.01，由规则六可得：Q=m*N*(1-R)=7*11*(1-0.01)=76.23。”

"q = E*n = 20.56*2 = 41.12."

"Since Q=76.23>q=41.12, according to Rule , the magic circle can be successfully constructed."

“当导魔材料为黄铜时：R=0.45，由规则六可得：Q=m*N*(1-R)=7*11*(1-0.45)=42.35。”

"q = E*n = 20.56*2 = 41.12."

"Since Q=42.35>q=41.12, the magic circle can still be successfully constructed on brass magic conducting materials."

It took no more than two minutes in total for Gaode to calculate the result.

It is indeed a relatively basic and simple calculation question.

As long as you understand the six basic rules of the rune, even an elementary school student can quickly figure out the solution.

It is not worth praising to calculate the answer. What is worth praising is the person who summarized these six rules.

It is because of these six basic rules that a complex problem can be calculated using a simple formula.

I didn't expect that I would have the opportunity to do questions again in this world. The familiar muscle memory was aroused, and Gao De felt slightly happy.

Doing exercises is something that makes people feel extremely happy.

"Why do I always feel like something is missing?"

Gao De looked at the formula he had written on the answer sheet and touched his chin unconsciously, his eyes revealing an indescribable confusion and uneasiness.

He glanced over the formulas on the answer sheet that were listed according to the basic rules of runes. Every step strictly followed the theorem.

But the feeling of emptiness in his heart could not be dispelled as soon as it arose, and the feeling of "something was missing" stubbornly existed.

If I had to describe this feeling, it's like solving a math problem where you've used all the conditions in the question, but you've overlooked some hidden key clues, causing the entire problem-solving process to go astray.

It must be an illusion. Gao De checked it carefully several times. After confirming that there were no omissions in his answers, he finally put down the answer sheet, stopped thinking about it, and continued browsing.

"According to the formula calculation based on the six basic rules, this simple magic circle can be successfully constructed on both mithril and brass materials."

"In the actual process, the construction of the magic circle on the brass material failed. Why did it fail?"

There were only these two sentences at the end of the note, and below the question of why it failed, there was another line of comments written in a smaller font.

"Rules one to five have been verified many times using various methods and have been confirmed to be correct. The reason for the failure is that the formula for rule six is ​​wrong."

"The formula of Rule Six already includes all the variables that appear in the rune combination. The calculation method has been deduced many times. It is the most consistent with the rune arrangement law and has the lowest error rate among all the calculation methods. The error rates of other calculation methods are shocking and obviously unreasonable."

"where is the problem?"

Looking at the last question mark, Gao De frowned, his thoughts unconsciously mobilized.

Why failed?

It is obvious that the theoretical robustness value on brass material is greater than the actual robustness value of the magic circle.

According to the rules, it is sufficient to support the construction and operation of this magic circle.

This is not the case.

That means the formula mentioned in the annotation is wrong.

So what's wrong with the formula?
Gao De looked at the formula listed in Rule 6 again:
Q=m*N*(1-R)>q=E*n.

That strange feeling of "as if something is missing" reappeared in his heart, like an invisible hand gently plucking his heartstrings.

As his eyes moved repeatedly over the formula, Gao De became more and more certain that something was indeed missing from the formula.

There may be structural flaws in the formula itself, as it is missing a key correction term. Gaode came up with an explanation almost instinctively.

People who study mathematics and are good at mathematics will develop a certain ability after long-term problem-solving training and experience accumulation, and have seen enough formulas.

This ability is often called mathematical intuition.

Mathematical intuition can help them "feel" the possible structure and form of a formula to some extent.

This allows them to make a preliminary guess about the solution to the problem or the form of the formula based on their previous experience and understanding of the formula.

This process can include the recognition of patterns, the perception of symmetries, and the prediction of the behavior of functions.

Of course, although mathematical intuition is an important tool and is very useful in the exploration and speculation stages, guiding mathematicians to propose hypotheses and conjectures, it cannot replace proof.

The real formulas and conclusions still need to be verified through rigorous logical reasoning and proof.

Immersed in the formula, Gaode has subconsciously added a "C" after the actual robust value "q=E*n" based on his intuition.

q=E*n*C.

Then he nodded with satisfaction.

It’s much more comfortable to look at it this way.

Gao De's gaze returned to the last question in his notes.

He thought about it and finally gave his answer at the end.

"There is a disturbance constant C missing from the formula."

A constant is a number that has a fixed value in mathematics.

It does not change with changes in other variables, is a fixed number, and can appear in any formula.

Constants provide stability and fixed reference points for formulas, allowing them to more accurately describe and predict various phenomena and processes.

Anyone who has received high school education can find that many formulas, whether in physics or mathematics, often contain a fixed constant value in addition to variables.

Many natural laws are also described by formulas containing constants.

These constant terms reflect the basic properties or physical characteristics of natural laws.

For example, the speed of light c, the gravitational constant G, etc.

The famous mass-energy formula E=mc, if we ignore the constant c, then only "E=m" remains.

This is also a formula that seems wrong no matter how you look at it, but it seems to include all the variables in the nuclear reaction.
It’s the same question as the last one in the rune formula.

After thinking about it again, Gaode added the word "maybe" to his answer.

"There may be a disturbing constant C missing from the formula."

This is much more rigorous.

(End of this chapter)